93042910688 has 216 divisors, whose sum is σ = 232114454712. Its totient is φ = 36389316096.

The previous prime is 93042910679. The next prime is 93042910721. The reversal of 93042910688 is 88601924039.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328773395 + ... + 328773677.

It is an arithmetic number, because the mean of its divisors is an integer number (1074603957).

Almost surely, 2^93042910688 is an apocalyptic number.

93042910688 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93042910688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116057227356).

93042910688 is an abundant number, since it is smaller than the sum of its proper divisors (139071544024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

93042910688 is a wasteful number, since it uses less digits than its factorization.

93042910688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 93042910688 in words is "ninety-three billion, forty-two million, nine hundred ten thousand, six hundred eighty-eight".